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1010301300 = 2232528912613
BaseRepresentation
bin111100001101111…
…111100101110100
32121102001121211200
4330031333211310
54032114120200
6244130132500
734015263561
oct7415774564
92542047750
101010301300
1147931a358
12242421130
13131405c28
149826d868
155da68800
hex3c37f974

1010301300 has 108 divisors (see below), whose sum is σ = 3202568460. Its totient is φ = 266365440.

The previous prime is 1010301263. The next prime is 1010301311. The reversal of 1010301300 is 31030101.

It can be written as a sum of positive squares in 6 ways, for example, as 116769636 + 893531664 = 10806^2 + 29892^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73794 + ... + 86406.

Almost surely, 21010301300 is an apocalyptic number.

1010301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601284230).

1010301300 is an abundant number, since it is smaller than the sum of its proper divisors (2192267160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010301300 is a wasteful number, since it uses less digits than its factorization.

1010301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12712 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1010301300 is about 31785.2371392758. The cubic root of 1010301300 is about 1003.4220429310.

Adding to 1010301300 its reverse (31030101), we get a palindrome (1041331401).

The spelling of 1010301300 in words is "one billion, ten million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 801 890 900 1068 1335 1602 1780 2225 2670 3204 4005 4450 5340 6675 8010 8900 12613 13350 16020 20025 25226 26700 37839 40050 50452 63065 75678 80100 113517 126130 151356 189195 227034 252260 315325 378390 454068 567585 630650 756780 945975 1122557 1135170 1261300 1891950 2245114 2270340 2837925 3367671 3783900 4490228 5612785 5675850 6735342 10103013 11225570 11351700 13470684 16838355 20206026 22451140 28063925 33676710 40412052 50515065 56127850 67353420 84191775 101030130 112255700 168383550 202060260 252575325 336767100 505150650 1010301300